Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#22627653 | C2 | semidirect |
| 3. C4×Q8×D293 | C2 | semidirect |
| 4. #34036350 | C2 | semidirect |
| 5. #34036349 | C2 | semidirect |
| 6. #34036340 | C2 | semidirect |
| 7. #34036339 | C2 | semidirect |
| 8. #34036326 | C2 | semidirect |
| 9. #34036151 | C2 | semidirect |
| 10. #34036127 | C2 | semidirect |
| 11. #460×C293 | C2 | semidirect |
| 50. Q8×D293 | D4 | semidirect |
| 132. C4×C293 | #137 | semidirect |
| 146. C293 | #3037 | semidirect |
| 156. #460 | D293 | semidirect |
| 285. C4 | #22627653 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627653 | 2 |
| #34036677 | 2 |
| C4×Q8×D293 | 2 |
| #34036350 | 2 |
| #34036349 | 2 |
| #34036340 | 2 |
| #34036339 | 2 |
| #34036326 | 2 |
| #34036151 | 2 |
| #34036127 | 2 |
| #460×C293 | 2 |
| #3037 | 293 |